Optimal Control of an HIV Model

Volume 2, Issue 4, pp 650--658 http://dx.doi.org/10.22436/jmcs.02.04.09

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Authors

H. R. Erfanian - Department of Mathematics & Statistics, University of Science and Culture, Tehran, Iran M. H. Noori Skandari - Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

We consider an HIV model, based on optimal control, for identifying the best treatment strategy in order to maximize the healthy cells by using chemotherapies with minimum side effects. In this paper, a new approach is introduced which transform the constraints of problem to the integral constraints. By an approximation, we obtain a finite dimensional linear programming problem which give us an approximate solution for original problem.

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Keywords

• HIV Model
• Optimal Control
• Linear programming
• Measure theory
• Chemotherapy .

MSC

•  34K60
•  49K15
•  92D30
•  92C60

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